An Autocontouring Method for the Kidneys Using an Adaptive Weighted Multikernel Support Vector Machines

In radiotherapy, the location of the target area is very important. If the target area is small, the treatment is not complete, so the location of the target area is generally larger than the actual cancerous site. However, the damage of radiotherapy to normal cells is the same. In order to reduce the damage to the body as much as possible, we need to complete the most suitable target area. This paper uses an adaptive weighted multikernel support vector machine, which solves the parameter problem in the traditional multikernel support vector machine. The new AW-SVM can adjust the kernel weights adaptively. We completed our experiment on the abdominal MR dataset, using DSI as an evaluation indicator, and the experimental results showed its excellent classification performance. The minimum value of DSI in all results is 0.9654 (more than 0.7 is acceptable).

Constructing Stereo Images of Error Surfaces in Problems of Numerical Methods Verification

The tasks of constructing stereo representations of texts and formulas on an autostereoscopic monitor in stereo presentations designed to display the results of numerical modeling are an urgent sub-task in developing methods and algorithms for constructing stereo displays of scientific research results. In this paper, the construction of stereo images on an autostereoscopic monitor is considered. The autostereoscopic monitor allows you to watch stereo images without glasses, while ensuring the quality of the stereo image, which is not inferior to the quality of the stereo image presented using the classic 3D projection stereo system. The possibility of combining several stereo objects with different parameters on one frame with various parameters allowing to achieve the maximum stereo effect is being investigated. This technology has been applied practically to visualize the problems of verification of numerical methods and their comparative analysis. Similar solutions for the two-parameter problem are represented in the form of error surfaces constructed for each numerical method involved in the comparison. The construction of error surfaces in stereo mode is implemented for an autostereoscopic monitor based on a multi-view.

GIS BASED MULTI-PARAMETER OPTIMAL PATH ANALYSIS FOR RURAL SCHOOLS

Using the Geographic Information System (GIS) technology, transportation and network analysis has become a straightforward application. An underlying problem in transportation and network analysis is to find optimal paths between different locations from sources to destination on a network. Sometimes this optimal path between source to destination has to be done in real-time. Several optimal path algorithms have been proposed by the researchers based on single parameter problem. In this paper, a multi-parameters based optimal path solution is proposed using GIS software for the travelling of children to schools. For these rural schools of Bara tehsil of Prayagraj district in India is selected. Three different parameters are taken to find the optimal path which is population density-based, travelling distance-based and travelling time-based optimal path. The developed optimum path is the least cost and satisfied by the other technical, environmental, economic and social criteria. This paper provides a solution if the government need to apply any policy that needs to visit each school. This paper will help the government in land management. On the basis of this paper, government can find schools which are not connected with road and can plan a new road to connect each school by road.

Periodic Schwarz–Christoffel mappings with multiple boundaries per period

We present an extension to the theory of Schwarz–Christoffel (S–C) mappings by permitting the target domain to be a single period window of a periodic configuration having multiple polygonal (straight-line) boundaries per period. Taking the arrangements to be periodic in the x -direction in an ( x , y )-plane, three cases are considered; these differ in whether the period window extends off to infinity as y → ± ∞, or extends off to infinity in only one direction ( y → + ∞ or y → − ∞), or is bounded. The preimage domain is taken to be a multiply connected circular domain. The new S–C mapping formulae are shown to be expressible in terms of the Schottky–Klein prime function associated with the circular preimage domains. As usual for an S–C map, the formulae are explicit but depend on a finite set of accessory parameters. The solution of this parameter problem is discussed in detail, and illustrative examples are presented to highlight the essentially constructive nature of the results.

Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI

We present a novel method to solve the accessory parameter problem arising in constructing conformal maps from a canonical simply connected planar region to the interior of a circular arc quadrilateral. The Schwarz–Christoffel accessory parameter problem, relevant when all sides have zero curvature, is also captured within our approach. The method exploits the isomonodromic tau function associated with the Painlevé VI equation. Recently, these tau functions have been shown to be related to certain correlation functions in conformal field theory and asymptotic expansions have been given in terms of tuples of the Young diagrams. After showing how to extract the monodromy data associated with the target domain, we show how a numerical approach based on the known asymptotic expansions can be used to solve the conformal mapping accessory parameter problem. The viability of this new method is demonstrated by explicit examples and we discuss its extension to circular arc polygons with more than four sides.

Bias Corrections for Probit and Logit Models with Two-way Fixed Effects

In this article, we present the user-written commands probitfe and logitfe, which fit probit and logit panel-data models with individual and time unobserved effects. Fixed-effects panel-data methods that estimate the unobserved effects can be severely biased because of the incidental parameter problem (Neyman and Scott, 1948, Econometrica 16: 1–32). We tackle this problem using the analytical and jackknife bias corrections derived in Fernández-Val and Weidner (2016, Journal of Econometrics 192: 291–312) for panels where the two dimensions ( N and T) are moderately large. We illustrate the commands with an empirical application to international trade and a Monte Carlo simulation calibrated to this application.